Divisibility proofs with identities

Divisibility proofs with identities

Secondary 2

4 marks

TGM Original Questions

If \(x\) is a positive integer, show that \((6x+1)^2-4(6x+1)-3\) is always divisible by 6.[4]

Solution:

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Answer:For integer x, the bracket is an integer. Hence the expression is divisible by 6.

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